Week 16 of 43
Core DSA
WEEK 16 LEARNING MODULE
Sorting Consolidation & Time Complexity Comparison
Compares Best, Average, and Worst-case complexities of elementary sorts, exploring adaptive optimizations and custom comparator ordering.
3 Practice Problems3 Core ConceptsVerified Curriculum: high Confidence
What You'll Learn
- ✓Compare Best, Average, and Worst case runtimes across Bubble, Selection, Insertion, and Counting sorts.
- ✓Identify when Insertion Sort achieves $O(n)$ linear time on nearly-sorted data.
- ✓Implement custom string concatenation comparators (e.g. comparing $A+B$ vs $B+A$ for Largest Number).
- ✓Apply greedy coin-picking strategies using reverse sorted arrays.
Core Concepts
Asymptotic Complexity Comparison
Rigorous comparison table of best/avg/worst runtimes for elementary sorting algorithms.
Adaptive Sorting
O(n) best caseAlgorithms like optimized Bubble Sort with swap flags and Insertion Sort that run in O(n) on sorted data.
Custom Comparator Ordering
O(n log n)Defining custom sorting transitivity rules (e.g. lambda x, y: cmp(y+x, x+y)) to arrange maximum numeric strings.
Algorithms Covered
Custom String Concatenation SortingGreedy Triplet SelectionAnagram Frequency Verification
Data Structures Applied
ArraysStrings
Lecture Materials
Hands-On Coding & Practice Session
No formal slide deck was attached for this review week. Focus on mastering the curated practice problems and core algorithmic paradigms above.